Determining soil contamination profiles from intensities of capture- gamma rays using above-surface neutron sources

Applied Radiation and Isotopes

Volumn 50, Issue 2, 1999, Pages 415-433

  Shultis, J Kenneth ^a   Khan, F ^a   Letellier, B ^a,b   Faw, Richard E ^a  

^a Kansas State University   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTAMINATION; INFORMATION THEORY; ITERATIVE METHODS; NEUTRON IRRADIATION; NEUTRON SOURCES; SOIL POLLUTION;

BACKUS-GILBERT METHOD; ITERATIVE POSITIVITY CONSTRAINT; MAXIMUM ENTROPY METHOD; PROMPT GAMMA NEUTRON ACTIVATION ANALYSIS;

NEUTRON ACTIVATION ANALYSIS;

ARTICLE; DRUG DETERMINATION; GAMMA RADIATION; NEUTRON ACTIVATION ANALYSIS; NEUTRON RADIATION; PRIORITY JOURNAL; RADIATION DETECTION; RADIOACTIVE CONTAMINATION; SOIL POLLUTION; TECHNIQUE;

GAMMA RAYS; MODELS, THEORETICAL; NEUTRON ACTIVATION ANALYSIS; NEUTRONS; PHOTONS; SOIL POLLUTANTS, RADIOACTIVE;

EID: 0033080901     PISSN: 09698043     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0969-8043(98)00012-8     Document Type: Article

References (23)

1. Backus, G. E., Gilbert, F., 1967. Numerical applications of a formalism for geophysical inverse problems. Geophys. J. R. Atro. Soc. 13.
2. Backus G. E., Gilbert F. Geophys. J. R. Atro. Soc. 16:1968;169-205.
3. Biemond J., Lagendijk R. L., Mersereau R. M. Proc. IEEE. 78:1990;856-883.
4. Craig, I. J., Brown, J. C., 1986. Inverse Problems in Astronomy. Adam Hilger, Bristol.
5. Gull, S. F., Skilling, J., 1985. The Entropy of an Image, Maximum-Entropy and Bayesian Methods in Inverse Problems. University of Wyoming, pp. 287-301.
6. Gull, S. F., Skilling, J., 1989. Quantified Maximum Entropy: MEMSYS 3 Users' Manual. Maximum Entropy Data Consultants, Royston, England.
7. Jaynes, E. T., 1985. Where Do We Go from Here? In: Smith, C. R., Grandy, W. T. (Eds.), Maximum-Entropy and Bayesian Methods in Inverse Problems. Dordrecht.
8. Letellier, B., 1997. Maximum entropy a posteriori method for estimating soil contamination profiles. Ph.D. dissertation, Kansas State University, Manhattan, KS, in preparation.
9. Loredo T. J., Epstein R. I. Astrophys. J. 336:1989;896-919.
10. Miller K. SIAM J. Mat. Analysis. 1:1970;52-74.
11. Parker R. L. Understanding inverse theory. Ann. Rev. Earth Planetary Sci. 5:1977;35-64.
12. Phillips D. L. J. Ass. Comput. Machin. 9:1962;84-97.
13. Press, W. H., Teukolsky, S. A., Vetterling W. T., Flannery, B. P., 1992. Numerical Recipes, 2nd ed. Cambridge University Press, Cambridge.
14. Shue, S. L., Faw, R. E., Shultis, J. K., 1996. Fast neutron thermalization and capture gamma-ray generation in soils. In: Proc. HSRC/WERC Joint Conference on the Environment, Albuquerque, NM, May 1996. Great Plains-Rocky Mountain Hazardous Substance Research Center, Kansas State University, Manhattan, KS.
15. 241Am /Be sources. HSRC-94-02-11, Department of Nuclear Engineering, Kansas State University, Manhattan, KS.
16. Shue, S. L., Faw R. E., Shultis, J. K., 1997. Thermal neutron intensities in soils irradiated by fast neutrons from point sources. Isotope Geosci., submitted.
17. Shultis, J. K., Faw, R. E., Khan, F., 1996a. Mathematical models and analysis for PGNAA of soil contamination. HSRC-94-02-10, Department of Nuclear Engineering, Kansas State University, Manhattan, KS.
18. Shultis, J. K., Faw, R. E., Khan, F., 1996b. Methods for determining soil contaminant profiles from prompt-neutron gamma activation data. In: Proc. HSRC/WERC Joint Conference on the Environment, Albuquerque, NM, May 1996. Great Plains-Rocky Mountain Hazardous Substance Research Center, Kansas State University, Manhattan, KS.
19. Skilling J., Bryan R. K. Maximum entropy reconstruction: general algorithm. Monthly Notices R. Astronom. Soc. 211:1984;111-124.
20. Tikhonov A. N. The approximate solution of fredholm integral equations of the first kind. Zh Vych. Mat. 4:1964;564-571.
21. Tikhonov, A. N., Arsenin, V. Y., 1977. Solutions of Ill-Posed Problems. Wiley, New York.
22. Twomey S. J. Ass. Comput. Machin. 10:1963;97-101.
23. Twomey, S., 1977. Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements. Elsevier, Amsterdam.